Atkin-Lehner |
2+ 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
27450bc |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1478400 |
Modular degree for the optimal curve |
Δ |
-1.447524115452E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 4 -3 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-878742,1857980916] |
[a1,a2,a3,a4,a6] |
j |
-52704849262157/1016642451456 |
j-invariant |
L |
1.5293557265626 |
L(r)(E,1)/r! |
Ω |
0.12744631054687 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9150ba1 27450cg1 |
Quadratic twists by: -3 5 |